Florida residents racing to get out of Hurricane Irma's destructive path have encountered a serious obstacle: gasoline shortages.

At least 36% of gas stations in the Miami-Fort Lauderdale region are without fuel, according to estimates from crowdsourcing platform GasBuddy.

About one-third of the gas stations in the West Palm Beach and the Fort Myers-Naples regions are in the same position. Central population centers like Tampa are also being affected, as well as the northern Gainesville region, GasBuddy numbers show.

"It's like the church on Easter Sunday getting a tornado warning," said Tom Kloza, chief oil analyst at the Oil Price Information Service.

Kloza predicted gas shortages will worsen in the coming days as Hurricane Irma -- a massive Category 5 storm -- as "panic buying" continues and gasoline deliveries are blocked by Florida port shutdowns.

"Today will be worse than yesterday and tomorrow will be worse than today," he said.

Florida Governor Rick Scott is trying to ease gas shortages by directing state police to escort fuel delivery trucks to speed up deliveries along evacuation routes. The governor strongly urged gas stations to stay open as long as possible before the storm hits. Scott offered police escorts for gas station employees to ensure they're able to get out safely.

A Valero gas station in Miami ran out of gas on Wednesday as South Florida residents fled Hurricane Irma.

Hurricane Irma's uncertain path led many of Florida's 20.6 million residents to stock up on fuel in case the storm's 180-mile-per-hour winds came their way.

"You had people literally in every county assuming it was going to hit them. As a result, you have shortages in areas that desperately need it," said James Miller, director of communications for the Florida Petroleum Marketers and Convenience Store Association.

"It's hard to blame people because the storm is quite scary," Miller said.

Sebastian, Florida resident Michele Williams told CNNMoney she encountered at least five gas stations that were empty when she drove her daughter home after her college in Sarasota was evacuated.

"It was pretty scary," Williams said of her three-hour drive across the state.

"Some of my friends evacuating are having problems going up (Interstate) 95 because they aren't able to get gas," she said.

Governor Scott pleaded with residents not to consume more gasoline than they need.

"Be considerate of neighbors and take only what each family needs to be prepared," Scott said in a statement on Wednesday.

To speed up the delivery of fuel and other critical supplies, Scott rescinded all weight and driver restrictions on its highways. Florida has also tried to improve gasoline supplies by getting an EPA waiver for certain regulations that would normally restrict the kind of fuels it can use.

Unfortunately, gasoline shortages may get worse before they get better. Miller said Florida gets 97% of its gasoline from waterways -- and Hurricane Irma is likely to shut down key ports very soon. For now, the state is prioritizing fuel shipments at its ports.

"Motorists are consuming everything that is being delivered. Supply could be very touch and go," said Patrick DeHaan, senior petroleum analyst at GasBuddy.

Florida's problems have been exacerbated by Hurricane Harvey's disruptions to Gulf Coast refineries, which Florida relies on for gasoline shipments. While some refineries shut down by Harvey are resuming operations, roughly 12% of total U.S. refining capacity is still offline, according to S&P Global Platts.

Florida residents who do find gas are paying more due to Harvey. A gallon of gasoline sold for $2.72 on Thursday in Florida, compared with $2.40 a week ago, according to AAA.

The supply disruptions to Florida were especially harmful because the state typically uses what it gets almost right away. Kloza estimates Florida operates with just seven days of gasoline supplies, a third less than the country as a whole.

"That's not enough when people know this storm is coming and they all fill up their tanks at once," he said.